Ricci solitons, conical singularities, and nonuniqueness
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Publication:2671209
DOI10.1007/s00039-022-00601-yzbMath1503.53091arXiv1909.08087OpenAlexW2973952585MaRDI QIDQ2671209
Publication date: 3 June 2022
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.08087
Nonlinear parabolic equations (35K55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Ricci flows (53E20)
Related Items (4)
Singularity formation of complete Ricci flow solutions ⋮ Curvature estimates for 4-dimensional complete gradient expanding Ricci solitons ⋮ On scalar curvature lower bounds and scalar curvature measure ⋮ A Relative Entropy and a Unique Continuation Result for Ricci Expanders
Cites Work
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- Weak solutions to degenerate complex Monge-Ampère flows. II
- Expanding solitons with non-negative curvature operator coming out of cones
- Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study
- Geometric flows with rough initial data
- The Kähler-Ricci flow through singularities
- Ricci flow compactness via pseudolocality, and flows with incomplete initial metrics
- Perelman's lambda-functional and the stability of Ricci-flat metrics
- Some new examples of non-Kähler Ricci solitons
- Inhomogeneous Einstein metrics on low-dimensional spheres and other low-dimensional spaces
- Limits of solutions to the Kähler-Ricci flow
- Singular Ricci flows. I
- Characterizations of the Ricci flow
- Super-Ricci flows for metric measure spaces
- Deformation of \(C^0\) Riemannian metrics in the direction of their Ricci curvature
- Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons
- Ricci flows with unbounded curvature
- Hyperbolic flows
- On the rotational symmetry of 3-dimensional \(\kappa \)-solutions
- Rigidity of gradient Ricci solitons
- Rigidity of asymptotically conical shrinking gradient Ricci solitons
- Uniqueness of instantaneously complete Ricci flows
- On Morse-Smale dynamical systems
- Uniqueness and Nonuniqueness for Ricci Flow on Surfaces: Reverse Cusp Singularities
- On the weak Kähler-Ricci flow
- Existence of Ricci Flows of Incomplete Surfaces
- Ricci flow of non-collapsed three manifolds whose Ricci curvature is bounded from below
- Minimally invasive surgery for Ricci flow singularities
- Singular Ricci Flows II
- Riemannian Geometry
- Ricci flow, entropy and optimal transportation
- Non-Kähler Expanding Ricci Solitons
- Ricci flow of almost non-negatively curved three manifolds
- Uniform, Exponentially Improved, Asymptotic Expansions for the Confluent Hypergeometric Function and Other Integral Transforms
- New Examples of Complete Ricci Solitons
- Ricci Flow Emerging from Rotationally Symmetric Degenerate Neckpinches
- Non-compact cohomogeneity one Einstein manifolds
- Asymptotic estimates and compactness of expanding gradient Ricci solitons
- A Lemma in the Theory of Structural Stability of Differential Equations
- Isolated Invariant Sets and Isolating Blocks
- Four-manifolds with positive isotropic curvature
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